Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces

Published 6 Jul 2011 in math.CA | (1107.1129v1)

Abstract: Using the multilinear theory of oscillatory integral operators, we establish a square function inequality with implications to moment inequalities for discrete exponential sums which frequencies lie on curved hyper-surfaces. In particular a new distributional estimate for toral eigenfunctions is established.

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Jean Bourgain

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